45904801472577 has 12 divisors (see below), whose sum is σ = 66963439773204. Its totient is φ = 30300198991200.

The previous prime is 45904801472513. The next prime is 45904801472623. The reversal of 45904801472577 is 77527410840954.

45904801472577 is a `hidden beast` number, since 4 + 5 + 9 + 0 + 48 + 0 + 14 + 7 + 2 + 577 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44660898460161 + 1243903012416 = 6682881^2 + 1115304^2 .

It is not a de Polignac number, because 45904801472577 - 2⁶ = 45904801472513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45904801479577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25250164918 + ... + 25250166735.

It is an arithmetic number, because the mean of its divisors is an integer number (5580286647767).

Almost surely, 2^{45904801472577} is an apocalyptic number.

It is an amenable number.

45904801472577 is a deficient number, since it is larger than the sum of its proper divisors (21058638300627).

45904801472577 is a wasteful number, since it uses less digits than its factorization.

45904801472577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50500331760 (or 50500331757 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 45904801472577 in words is "forty-five trillion, nine hundred four billion, eight hundred one million, four hundred seventy-two thousand, five hundred seventy-seven".